Esther and Raeann went shopping. After Esther spent $62
r, Raeann had 3 times as much as Esther. If Esther had $30
r more than Raeann at first,
- Express the amount of money that Esther had at first in terms of r.
- If r = 29, find the amount of money that the two lady had left after shopping.
|
Esther |
Raeann |
Before |
1 u + $62r |
3 u |
Change |
- $62r |
|
After |
1 u |
3 u |
(a)
1 u + 62
r = 3 u + 30
r3 u - 1 u = 62
r - 30
r2 u = 62
r - 30
r = 32
r1 u = 32
r ÷ 2 = 16
r Esther's amount at first
= 1 u + 62
r = 16
r + 62
r = $78
r (b)
1 u + 3 u = 4 u
4 u = 4 x 16
r = 64
r Amount the two lady had left
= 64 x 29
= $1856
Answer(s): (a) $78
r; (b) $1856